id stringlengths 32 32 | setting_key stringclasses 1
value | setting_name stringclasses 0
values | messages listlengths 1 1 | ground_truth stringclasses 41
values | dataset stringclasses 1
value |
|---|---|---|---|---|---|
arithmetic_matrix_svd_train_0000 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[2, -4, 0, 4],\n [-3, -3, 0, 3],\n [0, 0, -4, 4],\n [2, 4, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 19 | math |
arithmetic_matrix_svd_train_0001 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[2, 2, -2, -3],\n [-4, -4, -4, -4],\n [2, 1, 2, 3],\n [4, 0, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 9 | math |
arithmetic_matrix_svd_train_0002 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[4, -3, 3, -4],\n [0, 0, -1, 3],\n [-1, -3, -1, -4],\n [-4, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 18 | math |
arithmetic_matrix_svd_train_0003 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:\n[[4, 2, -2, -2],\n [3, -2, -2, 4],\n [-2, -2, 3, 4],\n [4, -3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 20 | math |
arithmetic_matrix_svd_train_0004 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "What is the rounded sum of all singular values in the SVD of the following matrix?\n[[-1, 3, -3, 0],\n [4, -1, -2, 3],\n [-2, 1, -2, -2],\n [-2, -2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 14 | math |
arithmetic_matrix_svd_train_0005 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Calculate the rounded largest singular value from the SVD of:\n[[-2, 3, 0, 3],\n [1, 0, -1, 1],\n [-2, 3, -3, 3],\n [3, -2, -3, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 7 | math |
arithmetic_matrix_svd_train_0006 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[4, -3, 3, 1],\n [-4, -1, 3, 3],\n [2, 3, 4, -3],\n [4, -3, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 9 | math |
arithmetic_matrix_svd_train_0007 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Compute the rounded sum of all singular values from the singular value decomposition of the matrix:\n[[1, -4, -1, 4],\n [-2, 3, -3, 2],\n [-1, -4, 0, -1],\n [-3, 1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 17 | math |
arithmetic_matrix_svd_train_0008 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Calculate the rounded largest singular value from the SVD of:\n[[-4, 3, 1, -3],\n [1, -1, -1, -4],\n [4, 2, 2, 3],\n [-4, 4, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 9 | math |
arithmetic_matrix_svd_train_0009 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[4, 0, 1, 3],\n [-3, 1, -2, 3],\n [1, -4, -4, 4],\n [-4, -4, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_svd_train_0010 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[-3, 3, 1, -3],\n [-4, 2, -4, -3],\n [0, 0, 2, -2],\n [1, -3, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 17 | math |
arithmetic_matrix_svd_train_0011 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[-2, -1, 0, 2],\n [-2, -2, -3, 0],\n [-1, 0, 3, -4],\n [1, -3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 7 | math |
arithmetic_matrix_svd_train_0012 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[1, -3, 4, 2],\n [-4, 0, 1, 4],\n [-4, -4, -4, -2],\n [4, -3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 9 | math |
arithmetic_matrix_svd_train_0013 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[-4, 4, 2, -2],\n [3, 4, -1, 2],\n [3, 4, -2, -1],\n [4, -1, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_svd_train_0014 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[0, 0, -4, -4],\n [0, 2, -3, -1],\n [3, -3, 2, 2],\n [-4, 0, 0, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 6 | math |
arithmetic_matrix_svd_train_0015 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[-2, 0, -4, -4],\n [1, 3, -1, 0],\n [1, -3, 3, 3],\n [2, -3, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_svd_train_0016 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:\n[[3, 0, -1, -2],\n [-2, 2, 3, -3],\n [4, 0, 4, -3],\n [2, -1, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 16 | math |
arithmetic_matrix_svd_train_0017 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:\n[[-4, -4, -3, 3],\n [1, -2, 0, 3],\n [2, -4, -3, 2],\n [-3, 3, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 20 | math |
arithmetic_matrix_svd_train_0018 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Calculate the rounded largest singular value from the SVD of:\n[[-2, 0, 2, 2],\n [-4, -1, 4, -3],\n [0, -1, 4, -3],\n [-3, 3, -2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_svd_train_0019 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:\n[[-4, 2, -4, -1],\n [3, -1, 3, 1],\n [-4, -4, 0, 3],\n [3, 2, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
... | 7 | math |
arithmetic_matrix_svd_train_0020 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[2, 0, 4, 3],\n [3, -3, 3, 4],\n [4, 1, 4, 0],\n [-1, -1, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 9 | math |
arithmetic_matrix_svd_train_0021 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[2, 1, -4, 3],\n [-3, -2, -1, -2],\n [-4, 0, 4, 4],\n [-3, 0, -2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 7 | math |
arithmetic_matrix_svd_train_0022 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:\n[[-2, 0, 2, -3],\n [4, 1, 2, 2],\n [-2, -2, 2, 3],\n [-2, -4, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
... | 6 | math |
arithmetic_matrix_svd_train_0023 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[-4, -1, 0, 0],\n [4, 1, -3, -3],\n [3, 0, -2, 4],\n [-4, 4, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 9 | math |
arithmetic_matrix_svd_train_0024 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:\n[[-3, 0, 2, 1],\n [-4, 1, 4, 4],\n [2, 0, 0, -3],\n [-1, 2, 0, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
... | 8 | math |
arithmetic_matrix_svd_train_0025 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[-4, -4, 2, 1],\n [-3, 4, 2, 2],\n [4, 1, 3, -3],\n [-3, 1, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 9 | math |
arithmetic_matrix_svd_train_0026 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[2, 0, -3, 1],\n [0, -4, -2, 3],\n [-4, 3, 3, -3],\n [-1, -1, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 9 | math |
arithmetic_matrix_svd_train_0027 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[1, 1, 4, -2],\n [-1, -3, 3, 1],\n [1, 0, -1, 0],\n [-1, 4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 5 | math |
arithmetic_matrix_svd_train_0028 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:\n[[2, 4, 2, -4],\n [-1, -4, -1, 3],\n [-4, 3, -4, 0],\n [0, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_svd_train_0029 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[-4, 0, 2, 2],\n [2, 0, -2, -1],\n [3, -1, -4, -3],\n [-4, 3, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 11 | math |
arithmetic_matrix_svd_train_0030 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[-3, -4, 4, -2],\n [-3, 2, 0, 3],\n [4, -3, 0, -3],\n [1, -1, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_svd_train_0031 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[-2, -1, 0, -4],\n [0, 4, -4, 3],\n [-1, -4, 0, -1],\n [-4, 0, 4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 5 | math |
arithmetic_matrix_svd_train_0032 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:\n[[4, -1, 2, 3],\n [2, -2, -4, 1],\n [-3, 4, -3, 1],\n [-2, 1, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 5 | math |
arithmetic_matrix_svd_train_0033 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[-2, -3, 3, 0],\n [1, -3, -3, 3],\n [0, -1, -1, 0],\n [-3, -3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 6 | math |
arithmetic_matrix_svd_train_0034 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[-1, 3, 0, -2],\n [-4, 2, 2, -2],\n [0, 1, 4, -3],\n [3, -3, -4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 17 | math |
arithmetic_matrix_svd_train_0035 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[-1, -3, -1, 1],\n [-2, -3, 2, 2],\n [-3, -1, 1, -3],\n [-1, 1, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 6 | math |
arithmetic_matrix_svd_train_0036 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:\n[[-3, 3, 4, 3],\n [3, 4, -3, 0],\n [1, 3, 2, 2],\n [-1, -1, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}... | 6 | math |
arithmetic_matrix_svd_train_0037 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[2, 3, -3, -1],\n [-4, -2, -2, -1],\n [2, -2, 0, -1],\n [2, -4, -2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 6 | math |
arithmetic_matrix_svd_train_0038 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "What is the rounded sum of all singular values in the SVD of the following matrix?\n[[4, 0, 3, 3],\n [-4, 4, 3, -2],\n [-1, -1, 2, 3],\n [0, 2, -1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 20 | math |
arithmetic_matrix_svd_train_0039 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[-2, -3, -3, 3],\n [0, -1, -3, 1],\n [-3, 0, -3, 4],\n [-1, 1, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_svd_train_0040 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:\n[[4, 2, 0, 4],\n [-1, -4, -2, -3],\n [0, -1, -3, -4],\n [2, -1, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | 6 | math |
arithmetic_matrix_svd_train_0041 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[1, 2, -2, 2],\n [-2, 2, 0, 3],\n [0, -1, 0, 2],\n [4, 2, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 7 | math |
arithmetic_matrix_svd_train_0042 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:\n[[-3, -4, 2, 2],\n [4, -3, -4, 1],\n [0, 4, 1, -2],\n [1, -1, -2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 7 | math |
arithmetic_matrix_svd_train_0043 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[-3, 1, 1, -1],\n [0, 2, -3, 1],\n [4, -4, 0, 2],\n [-4, 1, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 13 | math |
arithmetic_matrix_svd_train_0044 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[0, 1, -3, -4],\n [-1, 0, 3, 4],\n [2, 3, -2, 2],\n [-2, 2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 16 | math |
arithmetic_matrix_svd_train_0045 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[-2, 4, -3, 4],\n [3, -4, -1, -3],\n [-4, 0, 4, 3],\n [0, 0, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_svd_train_0046 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Calculate the rounded largest singular value from the SVD of:\n[[-3, 0, 3, -2],\n [4, -4, 4, -4],\n [3, 4, 3, 1],\n [-4, 3, 4, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 9 | math |
arithmetic_matrix_svd_train_0047 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:\n[[-4, 2, -4, 4],\n [1, -3, 1, 0],\n [-4, 0, 4, 3],\n [0, -4, -2, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
... | 8 | math |
arithmetic_matrix_svd_train_0048 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[2, 4, -4, 0],\n [2, 2, -2, -3],\n [-3, -4, -3, -1],\n [4, -1, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_svd_train_0049 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[1, -3, 4, -4],\n [1, 4, -1, 2],\n [-1, -1, -4, 3],\n [4, 1, -1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_svd_train_0050 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[-4, -1, -2, 4],\n [-1, 3, 0, -2],\n [4, -3, -3, -3],\n [-1, 4, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 7 | math |
arithmetic_matrix_svd_train_0051 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[1, -4, -1, 1],\n [-2, 3, -3, 1],\n [2, -1, 3, -2],\n [0, -2, 3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 14 | math |
arithmetic_matrix_svd_train_0052 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[-4, -2, 0, -2],\n [2, 2, 3, -3],\n [-2, -4, 1, -1],\n [0, 2, 0, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 6 | math |
arithmetic_matrix_svd_train_0053 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Calculate the rounded largest singular value from the SVD of:\n[[-2, 0, -4, -4],\n [2, -3, -1, 0],\n [2, -3, 1, -1],\n [2, 2, 2, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 6 | math |
arithmetic_matrix_svd_train_0054 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[0, 2, -2, 3],\n [4, 1, -2, -2],\n [2, 4, -1, -1],\n [-3, -3, 1, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_svd_train_0055 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Compute the rounded sum of all singular values from the singular value decomposition of the matrix:\n[[-3, 2, 3, 3],\n [2, -4, 0, -4],\n [-1, 3, -4, 0],\n [1, -1, 0, -4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 17 | math |
arithmetic_matrix_svd_train_0056 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[1, 3, 0, 2],\n [3, -2, 2, -3],\n [-2, 4, 4, -2],\n [3, -2, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 7 | math |
arithmetic_matrix_svd_train_0057 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "What is the rounded sum of all singular values in the SVD of the following matrix?\n[[1, -4, 2, 0],\n [-2, -2, -3, 3],\n [1, 1, -1, 1],\n [-1, -2, 1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 14 | math |
arithmetic_matrix_svd_train_0058 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:\n[[4, 4, 4, -2],\n [4, 4, 1, 4],\n [-1, -2, -2, 4],\n [1, 2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}... | 9 | math |
arithmetic_matrix_svd_train_0059 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:\n[[0, -4, 2, 3],\n [-3, 2, 1, 1],\n [3, -1, 0, 1],\n [4, -3, 1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_svd_train_0060 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[-3, 0, 3, -1],\n [1, 4, -2, 2],\n [3, -2, -4, 3],\n [4, -3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_svd_train_0061 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[-4, -4, 1, 4],\n [-2, 1, 4, 4],\n [4, 2, 2, 2],\n [1, -4, 4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 6 | math |
arithmetic_matrix_svd_train_0062 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[0, -1, -4, 4],\n [3, 4, -4, -4],\n [0, 2, -2, -1],\n [1, 1, -1, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 9 | math |
arithmetic_matrix_svd_train_0063 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[-1, 3, -4, -4],\n [1, 1, 3, -1],\n [-3, 1, 4, 4],\n [-2, 1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 7 | math |
arithmetic_matrix_svd_train_0064 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[4, 3, 0, -2],\n [3, 2, 3, -2],\n [-1, -2, 0, -4],\n [-4, 3, 1, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_svd_train_0065 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[4, -3, -1, -2],\n [-4, 1, -2, -3],\n [-2, -1, -4, 1],\n [-3, 2, 4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_svd_train_0066 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[3, -3, -4, -1],\n [3, -3, 4, -2],\n [1, 2, 4, -4],\n [3, 2, 2, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 6 | math |
arithmetic_matrix_svd_train_0067 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[2, 2, -2, 1],\n [2, 4, 4, -4],\n [-4, -3, 2, 4],\n [-2, -4, 2, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 9 | math |
arithmetic_matrix_svd_train_0068 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:\n[[-3, 3, -1, 1],\n [1, 4, -4, -1],\n [0, -1, 1, -4],\n [2, 4, -4, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 18 | math |
arithmetic_matrix_svd_train_0069 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[-4, -2, 3, 2],\n [2, 2, -2, 1],\n [3, -1, -4, 2],\n [-1, -1, -1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_svd_train_0070 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[-2, -2, -1, -4],\n [3, 0, 2, -4],\n [1, -3, -4, 1],\n [-3, -4, -4, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 9 | math |
arithmetic_matrix_svd_train_0071 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:\n[[-2, 0, -1, 2],\n [3, 4, 0, 1],\n [0, -1, -2, 0],\n [-1, -1, 0, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 14 | math |
arithmetic_matrix_svd_train_0072 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:\n[[0, -1, -3, -3],\n [-3, 2, 4, -1],\n [-2, 1, 1, 2],\n [-2, 1, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 6 | math |
arithmetic_matrix_svd_train_0073 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[1, -4, -1, -4],\n [-3, 1, -2, 4],\n [-1, -3, -4, 2],\n [4, -2, -1, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 18 | math |
arithmetic_matrix_svd_train_0074 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[-3, 1, -3, 2],\n [4, -2, -2, 2],\n [-4, 4, -1, 4],\n [-3, -2, -1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_svd_train_0075 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:\n[[-4, -3, 2, 4],\n [-4, 3, 1, -3],\n [-1, -3, 4, -4],\n [0, 0, 3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 5 | math |
arithmetic_matrix_svd_train_0076 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:\n[[0, -2, -4, 3],\n [1, -1, 3, -3],\n [4, -4, -4, 0],\n [3, 3, -3, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 19 | math |
arithmetic_matrix_svd_train_0077 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Compute the rounded sum of all singular values from the singular value decomposition of the matrix:\n[[-2, 4, -3, -3],\n [3, -2, -1, -2],\n [3, -4, -3, -3],\n [-3, 4, 2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 17 | math |
arithmetic_matrix_svd_train_0078 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[-1, 4, 0, -4],\n [4, 4, 1, 3],\n [-1, -3, -2, -3],\n [2, -3, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 6 | math |
arithmetic_matrix_svd_train_0079 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[3, 3, -1, -1],\n [-3, -1, 2, -4],\n [1, -4, 2, -3],\n [2, 2, -4, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 6 | math |
arithmetic_matrix_svd_train_0080 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[2, 4, 4, -4],\n [-1, 0, -2, -3],\n [3, -3, 3, 2],\n [-3, 1, 1, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_svd_train_0081 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:\n[[-1, -2, 2, -1],\n [-3, 1, 3, -2],\n [-2, -4, 1, -1],\n [4, -4, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer... | 7 | math |
arithmetic_matrix_svd_train_0082 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:\n[[2, 1, 0, 4],\n [0, -4, -3, 2],\n [4, -2, 4, 2],\n [3, -3, -3, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 5 | math |
arithmetic_matrix_svd_train_0083 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[1, 3, 3, 0],\n [-4, -3, 2, -1],\n [-4, -4, 4, -1],\n [4, -1, -1, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 9 | math |
arithmetic_matrix_svd_train_0084 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "What is the rounded difference between the largest and smallest singular values in the SVD of the following matrix?\n[[-2, 1, 1, -1],\n [2, 0, -3, 3],\n [2, 4, 3, 2],\n [4, -3, -2, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 7 | math |
arithmetic_matrix_svd_train_0085 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[-2, 3, -4, 2],\n [3, 4, -3, -2],\n [-4, 1, 3, 1],\n [4, 0, 4, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_svd_train_0086 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[1, -1, -2, 3],\n [-2, 0, -1, 3],\n [0, 2, 0, 1],\n [4, -3, -3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 6 | math |
arithmetic_matrix_svd_train_0087 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "What is the rounded largest singular value in the SVD of the following matrix?\n[[4, 3, 2, 2],\n [3, 3, -4, -2],\n [3, -1, -2, -3],\n [-3, -2, -1, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_svd_train_0088 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[-3, -4, 4, -1],\n [2, 4, 2, 1],\n [2, 4, 2, 4],\n [4, -3, 4, 0]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 9 | math |
arithmetic_matrix_svd_train_0089 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[-1, 2, -3, -2],\n [-1, 1, 2, -3],\n [-4, 4, 2, -4],\n [4, 3, 2, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 7 | math |
arithmetic_matrix_svd_train_0090 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded largest singular value:\n[[-2, -4, 4, 3],\n [-2, -1, -4, 1],\n [1, -4, -1, 1],\n [-3, 4, -3, 2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 8 | math |
arithmetic_matrix_svd_train_0091 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Calculate the rounded difference between the largest and smallest singular values from the SVD of:\n[[2, -4, -3, -3],\n [-2, -3, 1, 0],\n [-4, -3, -1, 1],\n [-4, 0, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 7 | math |
arithmetic_matrix_svd_train_0092 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Calculate the rounded largest singular value from the SVD of:\n[[1, -1, -2, -3],\n [2, 0, -1, -2],\n [3, -4, 0, 2],\n [1, 3, 0, -3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 6 | math |
arithmetic_matrix_svd_train_0093 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[-3, -2, 2, 0],\n [-3, 2, 0, -1],\n [-1, -4, 2, -3],\n [-2, -4, 2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 16 | math |
arithmetic_matrix_svd_train_0094 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[1, -1, 1, 4],\n [2, 4, -3, -2],\n [4, -1, 3, 0],\n [-4, -3, -1, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 18 | math |
arithmetic_matrix_svd_train_0095 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded difference between the largest and smallest singular values:\n[[-1, 2, 4, 1],\n [-1, -4, -4, -2],\n [-1, 4, -3, 3],\n [3, -2, -2, 3]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"... | 7 | math |
arithmetic_matrix_svd_train_0096 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Find the Singular Value Decomposition (SVD) of the matrix and determine the rounded sum of all singular values:\n[[4, -2, -2, 2],\n [-3, 2, -3, 0],\n [4, -1, 1, 0],\n [-3, -2, 2, 4]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 17 | math |
arithmetic_matrix_svd_train_0097 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Calculate the rounded sum of all singular values from the SVD of:\n[[-1, 4, -4, 2],\n [0, -3, 3, -4],\n [4, -3, -1, -3],\n [4, -2, 1, -1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 18 | math |
arithmetic_matrix_svd_train_0098 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Compute the rounded largest singular value from the singular value decomposition of the matrix:\n[[2, 0, 2, 4],\n [-2, -2, -3, 3],\n [-4, 1, -3, 3],\n [-4, -4, 3, -2]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 7 | math |
arithmetic_matrix_svd_train_0099 | arithmetic_matrix_svd | null | [
{
"role": "user",
"content": "Compute the rounded difference between the largest and smallest singular values from the singular value decomposition of the matrix:\n[[-1, -1, 2, 3],\n [4, 0, -4, 2],\n [-3, 4, -1, -1],\n [-2, -1, -3, 1]]\n\nPresent the answer in LaTex format: \\boxed{Your answer}"
}
] | 4 | math |
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